Hydraulic fracturing of tilted subterranean formations

ABSTRACT

A high-density particulate solid diverting agent comprising discrete solid particles of a dispersion of finely divided solid inorganic weighting material in an oil-soluble, water-insoluble homogeneous solid binder comprised of paraffin wax and polymer. Also, a mixed-density particulate solid diverting agent comprising a heterogeneous mixture of low- and high-density solid oil-soluble, water-insoluble particles.

United States Patent Original application Mar. 25, I966, Ser. No. 537,405, now Patent No. 3,416,606, dated Dec. 17,1968. Divided and thls applcatlon May 24, 1968. Ser. No. 740,404

[54] HYDRAULIC FRACTUIJNG OF 'IILTED SUBTERRANEAN FORMATIONS ll China, 1 Drawing Fig.

[$21 US. Cl. 252/85! R, 166/308. 260/285 AV [SI] lnt.CL E2lb43/26 [50] FieldolSearch ..252/8.55 A. 8.55 E; l66/308; 260/285 A. 28.5 AV

[56] References Cited UNITED STATES PATENTS 3.32 l .426 5ll967 Dorsey 260/285 3.35 l .569 "967 Revallier et al 260/285 X 3.386336 6/ I968 Gordy et al. 260/285 X Primary Examiner-Herbert B. Guynn Attorneys-Milton W. Lee, Richard C. Hartman, Lannas S.

Henderson. Robert E. Strauss and Dean Sandford ABSTRACT: A high-density particulate solid diverting agent comprising discrete solid particles of a dispersion of finely divided solid inorganic weighting material in an oil-soluble, water-insoluble homogeneous solid binder comprised of paraffin wax and polymer. Also. a mixed-density particulate solid diverting agent comprising a heterogeneous mixture of lowand high-density solid oil-soluble, water-insoluble particles.

HYDRAULIC FRACTURING F TIL'I'ED SUBTERRANEAN FORMATIONS This is a division of application Ser. No. 537,405, filed Mar. 25, I966 now U.S. Pat. No. 3,416,606.

This invention relates to the hydraulic fracturing of tilted subterranean formations, and more particularly to a method of fracturing tilted subterranean formations so as to form fracture planes which are laterally distended generally normal to the axis of tilt. The invention also relates to improved methods of treating tilted subterranem formations under fracturing conditions, and to improved diverting agents having controlled densities both higher and lower than the density of the carrier liquid.

One of the problems encountered in the production of petroleum from underground petroliferous formations is that liquid petroleum contained in a reservoir rock of low permeability does not readily flow into a well that penetrates the reservoir rock. it is now well known in the art of petroleum production that the production rate and ultimate recovery of petroleum from low-permeability formations can be substantially increased by fracturing the formation in the vicinity of the well. Although various methods of producing the desired fractures have been proposed, one of the most widely used techniques is to apply hydraulic pressure to the formation by injecting a fracturing liquid under elevated pressure through the borehole. When sufficient hydraulic pressure is applied to the formation, the rock will fracture, and by pumping the pressurizing fluid into the fracture at a rate exceeding the leakoff rate, the fracture can be extended to substantial distances from the well. It is also well known to add a particulate propping agent to the fracturing fluid for the purpose of introducing propping particles into the fracture. These propping agents serve to hold the fracture open and prevent reclosing or healing of the fracture when the hydraulic fracturing pressure is subsequently released. It is also well known to inject temporary sealing agents to seal ofi a fracture so that the fracturing step can be repeated. Thus, by successive fracturing and sealing operations, multiple fractures can be formed in a selected formation.

A formation subjected to hydraulic fracturing pressures in the aforedescribed manner will fracture, or open, along stress planes within the formation. While vertical fractures more or less parallel with the axis of the well can be formed in some formations, in the usual case it is accepted that the fractures are formed along the generally horizontal bedding planes. Although these bedding planes comprise substantially flat planes having generally horizontal orientations, due to geolog ical phenomena they will usually be inclined or tilted from a true horizontal position. While in many structures the degree of inclination or tilt is relatively small, certain oil-bearing formations are tilted as much as l,000 feet or more of vertical distance per mile of horizontal distance. Accordingly, when a formation having a substantially inclined structure is fractured, the resulting fractures will usually be formed along the inclined bedding planes of the formation and will therefore be inclined in an amount defined by the formation tilt.

in theoretical treatments of fracturing theory, the fracture is usually considered to extend radially from the well bore a uniform distance in all directions, the fracture thus being assumed to have a circular configuration with the injection well at its center. However, in actual practice this idealized circular configuration is seldom realized, and in many cases not desired. Deviations from true circular configurations are the result of many factors, such as the location and magnitude of natural stress planes, the degree of formation tilt, and the fracturing technique employed. While natural stress planes vary from formation to formation, and even within the same formation, the result of fracturing a tilted formation by the techniques heretofore practiced is generally to produce a fracture substantially distended in the downdip direction with a corresponding reduction in fracture extension in the updip and lateral directions.

The problems of irregular fracture patterns are accentuated in tilted formations, both because the formation tilt promotes irregularities in the fracture pattern and because the consequences of improperly distended fractures can be substantially more detrimental than would nonnally be experienced in more horizontal formations. The typical oil reservoir will comprise an oil-bearing formation overlying either a hydrodynamic or static water bottom. If a well is drilled into the oil-bearing formation and conventional fracturing performed, it is highly probable that the fracture plane will extend into the downdip water zone, particularly since the fracture configuration will usually be abnormally distended in that direction. The fracture plane thus provides an open permeable communication from the water zone to the well bore. The beneficial effect of any natural water drive is minimized as the water flows from the water zone directly into the well, thus bypassing a substantial portion of the oil-bearing formation. As a consequence, the well will produce a high water/oil ratio and can become watered out at a relatively low ultimate recovery. Water production is generally further increased as the propping agents usually employed in conventional hydraulic fracturing are typically more dense than the fracturing fluid and will settle in the downdip section of the fracture, thus tending to prevent healing of the fracture with an attendant reduction in water flow. Although techniques of directing the propping agents into the updip section of the fracture have been proposed, they largely fail to prevent migration of the propping agent into the downdip section of the fracture, particularly in the more steeply tilted formations. Thus, while conventional fracturing can substantially increase the permeability of an oil-producing formation and provide a corresponding increase in oil production, it is frequently found that this increased oil production is accompanied by an undesired increase in water production.

Further undesirable consequences can result from updip overtreatment of tilted formations. In the first place, updip overtreatment reduces the extent of the more desirable lateral treatment and results in the establishment of permeable fractures extending updip from the well bore at elevations above the topmost perforations in the well casing or liner. Unless sufficient gas drive is available to cause the oil to flow downward to the perforated casing, the oil above the top perforations will be entrapped, necessitating the drilling of a second offset well in an updip location. Secondly, where the producing reservoir does have an overlying gas zone, updip overtreatment can result in the extension of the fracture plane into the gas zone. Accordingly, a permeable communication is established from the gas zone to the well resulting in an undesirable increase in the producing gas/oil ratio and uneconomical diminishment of the natural gas drive. While the propping agent is usually incapable of forming a watertight seal, accumulation of propping agent in the downdip fracture can offer sufficient resistance to force the fracturing fluid into the updip area of the fracture, thereby increasing the undesirable extension of the updip fracture.

A further problem is encountered with various well-treating operations, such as acidizing, detergent and solvent washing, and additive injection, conducted on tilted formations under hydraulic fracturing conditions. The fluid patterns obtained by conventional injection techniques are distended in the downdip direction, thus contributing to a disproportionate loss of injected fluid into the downdip water zone. Since most of these treatments are directed to the increase of formation permeability, the permeability of the formation between the well bore and the water zone is thus undesirably increased resulting in increased water production.

Accordingly, it is an object of the present invention to provide an improved method of fracturing tilted formations. Another object is to provide a method of forming fracture planes in a tilted formation which are laterally distended in a direction generally normal to the axis of tilt. Another object is to provide a method of fracturing a tilted fonnation so as to preserve the natural hydrodynamic or basal water and gas drives. Still another object is to provide a method of fracturing tilted formations so as to minimize the production of water. A

further object is to provide an improved method of treating 'wells under fracturing conditions. A still further object is to provide a controlled density diverting agent having densities ranging both higher and lower than the density of the carrier liquid. These and other objects of the present invention will become apparent to those skilled in the art from the following detail description and by reference to the accompanying drawings, of which:

FIG. 1 is a vertical section through a tilted subterranean oilbearing formation having fractures formed by conventional methods and by the method of this invention.

FIG. 2 is a section through the fractured formation viewed from an angle normal to the oblique fracture planes.

In accordance with the method of this invention, a formation can be hydraulically fractured in a pattern laterally distended generally normal to the direction of tilt of the formation by adding highand low-density particulate solid diverting agents to the injected fracturing fluid. The particle densities are selected so that the high-density diverting agents are of higher density than the fracturing fluid, and low-density particles are less dense than the fluid. In this manner, a gravity separation will take place within the fracture wherein the lowdensity diverting agent particles will largely be displaced into the updip section of the fracture and the high-density diverting agent particles will settle to the downdip region below their point of entry into the formation. Under the high injection pressure employed, the diverting agent is compacted into the fracture to form an effective seal, thus causing diversion of the fracturing fluid laterally along a substantially horizontal plane generally normal to the direction of tilt of the formation thereby restricting the extension of the fracture in the updip and downdip directions. The injection of particulate propping agent into the updip and downdip regions is minimized to permit the formation to close upon the diverting agent on release of the hydraulic pressure. The diverting agent will thus func tion both to divert the fracturing fluid in a lateral direction and serve as a sealant upon completion of the fracturing operation, thereby preventing an influx of water and/or gas into the well. The aforedescribed technique can be employed to divert acid, detergent solution, solvent, additive solutions, and like liquids laterally in a direction generally normal to the direction of tilt of the formation.

The diverting agent employed in the method of this invention thus comprises a mixture of solid particles, some of which are characterized by a density lower than that of the carrier liquid so that the particles will float therein under quiescent conditions, while other of the particles are characterized by densities higher than that of the carrier liquid so that they will settle in the carrier liquid. These materials will hereinafter be referred to, respectively, as lowand high-density diverting agents, it being understood that the low-density diverting agents exhibit densities lower than both the high-density diverting agents and the carrier liquid, and that the high-density diverting agents exhibit higher densities than either the lowdensity diverting agents or the carrier liquid. In a preferred embodiment, the low-density diverting agents have specific gravities at least 0.l unit less than the specific gravity of the carrier liquid, and the high-density diverting agents have specific gravities at least 0.1 unit above that of the carrier liquid. In another embodiment wherein a propping agent is also suspended in the carrier liquid, a high-density diverting agent is preferred which is more dense than either the carrier liquid or the propping agent.

The diverting agent mixture is injected into the formation as a dispersion of particulate solids suspended in a pumpable carrier liquid, Carrier liquids suitable for this purpose can be any of the conventional aqueous or hydrocarbon base fracturing fluids, or other liquid sought to be injected under fracturing pressures. Thus, the diverting agent mixture can be suspended in water, viscous water containing a thickening agent, brine, aqueous acid solution, detergent solution, gelled hydrocarbon, crude oil, distillate petroleum fractions and various organic solvents.

Gravity separation of the particles within the fracture is enhanced by maintaining laminar flow of fluid in the fracture. Under conventional fracturing conditions, the fracturing fluid flow within the fracture is laminar. However, it is within the scope of this invention to control fracturing conditions to assure laminar flow rates.

Broadly, any particulate solid material of appropriate density and having the capability of forming an effective seal when deposited into the formation under fracturing pressures can be employed in the practice of this invention. However, since the updip and downdip fractures extensions are a function of the permeability of the diverting agent, superior results are obtainable with diverting agents having sufficient resiliency to tightly pack into the fracture under fracturing pressures, thus providing a barrier substantially impermeable to the fracturing fluid, or other inject liquid. Further, compositions possessing the characteristic of slow solubility in the petroleum hydrocarbons encountered in oil-bearing zones of the formation and which are insoluble in water effect superior water shutoff without a corresponding permanent loss of oil permeability. Most of the convention propping agents lack the resiliency and solubility characteristics required for a satisfactory diverting agent, the propping agents being primarily selected to form a permeable, insoluble, nonplugging mass when deposited in the fracture.

A preferred low-density material particularly useful with carrier liquids having specific gravities of about 1.0, or higher, etc.: various solid wax-polymer compositions such as those disclosed in my copending application Ser. No. 300,050 filed Aug. 5, I963, now U.S. Pat. No. 3,3l6,965. Other materials possessing low-density characteristics and which can be suitably employed as diverting agents are solid particle-form polymer-alcohol compositions disclosed in application Ser. No. 454,713 filed May 10, I965, now U.S. Pat. No. 3,363,690 such as copolymer ethylene and methyl methacrylate admixed with stearyl alcohol, and certain of the lower density compositions disclosed in application Ser. No. 427,921 filed .Ian. 25, 1965, now U.S. Pat No. 3,302,719 such as admixtures of polymer, wax and resin. Of this latter group, those compositions having resin contents below about 50 percent by weight are especially preferred as low-density diverting agents. Although the classification of the diverting agents of this invention and the selection of a material useful in a specific application is dependent upon the density of the carrier liquid, materials generally useful as low-density diverting agents in most applications have specific gravities less than about 0.95 referred to water, and usually within the range of between about 0.85 and about 0.90. The specific gravity of these diverting agents can be lowered by aerating the molten composition prior to solidification.

High-density materials useful as diverting agents in the practice of this invention include the solid polymer-halogenated aromatic hydrocarbon compositions disclosed in application Ser. No. 455,297 filed May 12, I965, and now issued as U.S. Pat. No. 3,342,263, such as copolymer ethylene and methyl methacrylate admixed with dichlorobenzene. Other useful high-density materials are certain polymer-wax-resin compositions disclosed in the aforementioned application Ser. No. 427,971, and particularly those compositions containing at least about 50 percent resin.

In a preferred embodiment of this invention, a diverting agent of controlled density can be prepared by dispersing a high-density solid weighting material in a suitable solid binder, the density and proportion of the weighting material largely determining the density of the resulting mixture. Thus, by controlling the proportion of weighting material, mixtures of various predetermined densities can be obtained. The resiliency and solubility characteristics of the diverting agent are primarily controlled by the properties of the binding material. Among the various binder materials which can be employed are the various lowand high-density solid materials otherwise useful as diverting agents. A particularly preferred high-density diverting agent possessing the desired properties of resiliency and solubility can be prepared by modifying the composition disclosed in the aforementioned copending application Ser. No. 300,060 to include a high-density weighting material. The specific gravity of the low-density wax-polymer composition can be increased from about 0.85-0.95 to a suitable level within the range of about L1 to about 5.0 by addition of the weighting ingredient.

Accordingly, compositions found particularly useful as lowdensity diverting agents and as binder for high-density diverting agents containing weighting ingredients include mixtures of polymer and hydrocarbon wax, and particularly compositions employing addition polymers having straight-chain hydrocarbon units in their molecular structure. Preferred polymer materials comprise (l) addition polymers of an olefin having between two and four carbon atoms in the monomer molecule. such as polyethylene, polypropylene and polybutylene; (2) copolymers of an olefin having between two and four carbons atoms and an alkyl acrylate containing not more than four carbon atoms in the alkyl group, such as esters formed by the reaction of acrylic acid and an alcohol having no more than four carbon atoms; (3) copolymers of an olefin having between two and four carbon atoms and esters formed by the reaction of butenic acid and an alcohol having no more than four carbon atoms; and (4) copolymers of an olefin having between two and four carbon atoms and an ester formed by the reaction of acetic acid and an unsaturated alcohol having no more than four carbon atoms Preferred polymer component materials include polyethylene polypropylene, polybutylene, copolymers of ethylene and vinyl acetate, and copolymers of ethylene and ethyl acrylate, and ethylene and methyl methacrylate. A single polymer component, selected from the above classes of polymeric substances, may form the polymer component of my composition, or two or more such materials may be combined in the blend. Each of the aforesaid polymer components will impart somewhat different properties of strength, ductility, solubility, melting point and density to the final solid composition. Desired properties not obtainable with a single polymeric material can often be achieve by blends of two or more of these polymers. Although the solid particulate compositions of this invention may contain other polymeric materials, the term polymer component as used herein shall include materials selected from the aforesaid group of polymer and copolymer materials.

Suitable waxes for use in the diverting agents of this invention include crystalline and microcrystalline petroleum waxes, as well as beeswax, carnauba wax, condellila wax, monton wax, and the like. Preferred for many applications are the paraffinic petroleum waxes comprising primarily straightchain hydrocarbons of 18 or more carbon atoms, many of which have melting points between about 130 and about I65 F. A particularly preferred paraffin wax comprises a fully refined petroleum paraffin crystalline wax having a melting point between about I30 and about l34 F. The solubility of the diverting agent can be controlled by employing mixtures of petroleum paraffin crystalline waxes having different melting points; such as, for example, mixtures of waxes melting within the standard melting point grades of l30-l34 F., -145 F., and l6l-l65 F.

Generally, the weight ratio of wax to polymer component in the polymer-wax compositions useful as diverting agents will vary from about l99 to one to about one to six. A preferred wax to polymer blend ratio found particularly useful in preparing low and high-density diverting agents is from about 20 to one to about one to one.

Barium lignin sulfonate is another relatively high density material useful as diverting agent, and which can be further increased in density by the addition of finely divided high-density weighting material. Finely divided barite is especially preferred for weighting barium lignin sulfonate.

Materials useful in increasing the density of the various binder materials are relatively high density solid substances which may or may not possess solubility similar to that of the binder. Exemplary of these high-density weighting agents are finely subdivided solid inorganic substances, such as for example particulate metal; metal compounds, such as the sulfates, oxides, halides, phosphates and carbonates of the various metals; and naturally, occuring minerals. Specific materials found particularly suitable for weighting relatively low-density diverting agents, such as for example the aforementioned waxpolymer compositions, are listed in table I.

TABLE l TYPICAL HIGH-DENSITY WEIGHTING MATERIALS While the materials listed in table 1 are typical of high-density solids which can be employed in the practice of this invention, they are not intended as limiting the use of other high-density solids to increase the density of a solid diverting agent composition.

Desirable weighting materials are those which are available in finely divided form, or which can be readily reduced in size on a commercial scale by simple techniques. The solid weighting materials must be of a size which can be dispersed in the binder, and must of necessity be of smaller size than the diverting agent particles. In most applications, weighting material particles within a uniform size range of less than I micron are preferred.

Among the high-density solids useful as weighting materials, such as those listed in table 1, solid materials which have specific gravities above about 4.0 with reference to water are particularly preferred. Of these, litharge is especially preferred, both because of its high density (9.53 specific gravity) and because it is commercially available as a finely divided product of less than 1.0 micron average particle size, and usually as relatively uniform particles having sizes within the range of about 0.25 to 0.5 microns.

The foregoing weighting materials can be admixed with a binder in amounts necessary to attain a resulting particulate solid material of the desired density, the maximum proportion of high-density ingredient being limited by the amount of material required to obtain a cohesive particle of the requisite resiliency. The amount of weighting material which must be added depends upon the density of the hinder, the desired product density, and the density of the weighting material. Typically, high-density diverting agent compositions can be weighted by the addition of up to about 60 volume percent of the finely divided weighting material. Of course, these compositions can comprise substantially higher weight proportions of high-density solid because of the density difference of the weighting material and the binder.

The low-density diverting agents can be prepared by any of the techniques disclosed in the above-mentioned copending applications. The high-density diverting agent compositions can be similarly prepared and particulated. In the preferred embodiment of this invention wherein a polymer-wax composition is weighted with suitable high-density solid weighting material, finely divided particles of the high-density solid are mixed in proper proportion into molten polymer-wax com position so as to obtain a uniform dispersion of solid in the liquid mass. The molten composition containing the dispersed solid weighting material is readily formable into solid particles of the desired size by several techniques such as prilling, dispersion. extrusion, etc.; or alternatively, the mass can be solidified by cooling and formed into particles by grinding, cutting, tearing, shredding, etc. Care must be taken in handling the molten material to prevent the entrapment of air which would tend to reduce the density of the solidified material.

Lowand high-density diverting agents produced in the above-described manner will generally comprise particles of various sizes. While the particle size distribution can be controlled to some extent by the manufacturing technique employed, it is often advantageous to classify the particles to obtain a product of graded sizes. Generally, particles found useful as diverting agents comprise those having sizes within the range of from about l micron to about 0.09 inch, these sizes passing a number 8 US. Standard screen. In specific applications, it is sometimes desirable to employ particles having sizes within a more limited range. In this regard, it is convenient to classify both the lowand high-density diverting agents into very fine particles having a size within the range of from about I micron to about I50 mesh, into an intermediate range of particle sizes from about 150 mesh to 20 mesh, and into larger particles having sized within the range of from about 20 mesh to about 8 mesh. It is to be realized that in specific applications it can be advantageous to use particles having sizes smaller than 1 micron or larger than 8 mesh, although sizes within this range are usually found most desirable. Further, it may be advantageous to classify the diverting agent into size grades other than specifically disclosed above.

The high' and low-density diverting agents of this invention are simultaneously injected in conventional manner through the well and into the formation as a dispersion of finely divided solid in any of the aforementioned liquid carrier fluids. Alternatively, a mixture of highand low-density diverting agents can be prepared and this mixture dispersed in the carrier liquid. In either case, it is usually advantageous to control the diverting agent proportion to obtain at least about 50 volume percent high-density material. Injection can be accomplished through screens, slotted liners, perforate casing, or any manner of apparatus conventionally employed in the completion of wells in petroleum-bearing formations. In the treatment of tilting formations it is generally desirable to disperse low-density diverting agent in the carrier liquid in an amount between about 0.05 and about 2.0 pounds per gallon. Similarly, the high-density diverting agent is added at a rate of between about 0.l and about 4.0 pounds per gallon. Various other particulated solid substances can be dispersed in the carrier liquid, either together with the diverting agents or in sequential treatments either preceding or following injection of the diverting agents. Other solids which can be dispersed in the carrier liquid include fluid loss additives and any of the conventional solid propping agents, such as glass beads, walnut hulls, sand and the like.

The use of lowand high-density diverting agent mixtures in the hydraulic fracturing of a tilted formation can best be described by reference to the drawings which illustrate the fracturing of a tilted formation by conventional technique and by the method of this invention. FIG. 1 is a vertical section of an inclined petroleum-bearing formation taken along a line parallel with the axis of tilt. Formation I0 is highly stratified with bedding planes substantially parallel to the upper and lower boundaries 1] and 12 of formation I0. The formation is sealed off at some considerable distance to the left of FIG. 1, as for example by fault, as is usual for a stratigraphic trap type of reservoir Although any tilted formation can be treated by the method of this invention, the method is particu' larly effective in treating formations inclined at angles of at least 15 from the horizontal. The upper portion of the reser' voir may contain gas in the region I3, the gas-oil interface being indicated by the dashed line 14, below which there is oil saturation in the region IS down to the oil-water contact 16,

below which there is water in the region I7. Well 18 is drilled from the surface to a point-penetrating formation It). The well is either stopped short of water zone 17, or plugged back to a point above interface 16. In either case, well [8 is equipped with conventional cemented casing, not shown, and can be completed in the oil-bearing region 15 of formation It) with screens, slotted liner, or perforated casing so as to provide communication from the reservoir into well 18.

When such a highly stratified steeply dipping formation is fractured, the fracture plane will usually parallel the stratification, i.e. the fracture produced will generally not be horizontal but will be substantially parallel to the formation bedding planes. The fracture 20 in formation 10 represents the fracture obtained by conventional hydraulic fracturing methods. It is apparent that an oblique fracture such as 20 may extend at its lower extremity into the water-bearing region 17 of formation 10, which is highly undesirable as the fracture then provides communication from the water zone to the well, as previously described. Similarly, fracture 20 extends in an updip direction a substantial distance from well 18, and it is apparent that the fracture can enter gas zone I3, as illustrated. Fracture 30 in formation I0 represents a fracture formed therein by the method of this invention. It is apparent from the illustration that the fracture 30 does not extend into either gas zone 13 or water zone I7 in the vicinity of the well.

The respective configurations of fracture planes 20 and 30 are better illustrated in FIG. 2 which is a horizontal view of the formation 10 taken normal to the oblique fracture planes. For illustrative purposes, both fracture planes 20 and 30 are represented in the same plane. Fracture 20 can be seen with a characteristic oval shape distended in the downdip direction from well 18, this shape resulting from gravitational forces acting upon the fracture fluid. The direction of tilt is from the left-hand side of the figure toward the right, as shown by the arrows A which indicate the downdip direction. Broken line 41 represents the intersection of the fracture plane with the gas-oil interface 14, and broken line 42 represents the intersection of the plane with the oil-water interface I6. Thus, in FIG. 2, the leftmost portion of the bedding plane lies in gas zone 13 and the right portion thereof lies in water zone I7. The middle portion of the bedding plane lying between broken line 4I and broken line 42 is in oil zone [5.

Fracture plane 20, formed by conventional hydraulic fracturing technique, is seen extending from well I8 updip into gas zone 13 and downdip into water zone 17, thus providing permeable zones of communication from these respective regions to well I8. The path of gas flow from gas zone 13 to well It] along fracture plane 20 is represented by arrows B. Similarly, the path of water flow along fracture plane 20 is represented by arrows C. Since these paths almost directly pass to well I8, it is apparent that upon fracturing by conventional techniques the well will produce high gas and water ratios. Not only are high gas and water ratios often economically unattractive, but the desirable natural gas and water drives tending to move the oil to the well bore can be depleted resulting in lower ultimate oil recovery.

These disadvantages are largely overcome with the fracturing technique of the present invention. FIG. 2 also illustrates the configuration of fracture plane 30 formed by hydraulic fracturing with mixed highand low-density diverting agents. In the illustrated example, fracture 30 is a substantially flat plane parallel to the inclined bedding planes of the formation which is distended normal to the direction of tilt so that the fracture plane lies largely within oil zone [5. Thus, fracture 30 has a major axis substantially normal to the direction of inclination of 'the formation and a minor axis substantially parallel thereto. It is readily apparent that although fracture planes 20 and 30 are approximately equivalent in area, fracture plane 30 has substantially greater area within the prod uc' tive oil zone, thus providing a permeable communication from a large area of this zone to the well resulting in increased oil recovery. The formation of laterally distended fractures, such as illustrated at 30, has the secondary advantage that fewer wells must be drilled into the productive formation since the lateral spacing can be increased.

A further major advantage of laterally distended fractures is the minimization of gas and water production and better utilization of natural gas and water drives. This result is obtained because of the configuration of the fracture plane. In the vicinity of well 18, fracture plane 30 is restrained in the updip and downdip directions by the action of the diverting agents so that the fracture plane does not extend into gas zone 13 or water zone 17. Further, even if the fracture is extended into these zones, the compact mass of low-density diverting agent packed into the upper periphery 3] of fracture 30, and the similar compact mm: of high-density diverting agent 32 along the downdip periphery of fracture 30 function as sealant to prevent the direct flow of gas and water the well bore. Although diverting agent masses 3] and 32 are illustrated as relatively thinly distributed along the upper and lower peripheries of fracture 30, these masses can cover a substantial horizontal area of the fraction, depending on the quantity of diverting agent employed. Thus, in the case where a rela tively large amount of diverting agent is employed, the compact masses 31 and 32 can extend substantially to well ill.

The diverting agent concentration in compact masses 3! and 32 is greatest immediately updip and downdip from well I8, thus offering the greatest restriction to fracturing fluid penetration in this area as evidenced by the fracture configuration. As fracture 30 is extended laterally the diverting agent becomes more widely dispersed, thereby forming a less dense mass which permits an increasing degree of updip and downdip penetration causing the characteristic dumbbellshaped fracture pattern illustrated in FIG. 2. As illustrated, the fracture can extend into gas zone 13 and water zone 17 at the more distance extremities of the fracture, usually without harm and frequently with a beneficial effect on oil production. This benefit occurs when the distended fracture communicates with either or both of gas zone [3 and water zone 17 at a point laterally remote from well 18. The natural gas and water drives then operate to move oil in oil zone toward well 18, thus affording substantially improved sweeping of the oil reservoir. Hence, the breakthrough of both gas and water into well 18 is delayed, and substantially improved gas/oil and water/oil producing ratios obtained. The natural gas drive paths along fracture 30 are illustrated by arrows D in H6. 2. Arrows E illustrate the natural water drive paths along fracture 30.

Fracture 30 can be sealed by conventional oil-soluble plugging materials, and the fracturing operation repeated to form a second similar fracture. The newly fonned fracture can in turn be plugged and subsequent fractures formed in the foregoing manner.

The fracturing method and diverting agent composition of this invention are further illustrated by the following examples describing various specific embodiments thereof, but which are not to be construed as limiting the scope of the invention.

EXAMPLE 1 The fracturing technique of this invention is demonstrated by the hydraulic fracturing of a well located in Big Horn County, Wyoming. The well is completed in the Tensleep formation by conventional casing perforated between the interval 4,702 and 4,7l3 feet. The Tensleep sandstone is a sharply tilted formation with outcroppings at the 5,000-foot level in the Big Horn Mountains to the northeast of the well, which is located at an elevation of approximately 1,000 feet. The formation is tilted generally from the outcroppings toward the southwest, and is tilted at an inclination of about 600 feet per mile in the vicinity of the well. Because of the lithology of this structure, water apparently enters the formation at the elevated region and flows to the southwest. Oil reservoirs in this general area are the result of entrapment by the strong hydrodynamic forces existing because of the substantial elevation difference in the Tensleep formation between the outcroppings and the oil reservoirs.

Upon initial completion of the well, both the oil and water production rates are low. During this early period oil production averaged about l7 barrels per day and water production about 15 barrels per day. The producing zone is then fractured by conventional method. Oil production is increased to B8 barrels per day, however, a far larger increase in water production is experienced, the water production increasing to about 733 barrels per day.

This first fracture is plugged off and a second fracture job performed employing the improved method of this invention. The fracture is produced by the injection of a viscous aqueous fracturing fluid into the formation at a moderate injection rate of 7 barrels per minute. This initial fracturing fluid contains the following particulate solid additives in suspension:

Upon the observation of a substantial pressure increase, the fluid injection is decreased to 4 barrels per minute with a corresponding reduction in solids addition to maintain the above concentrations. Upon reaching a rate of 4 barrels per minute at maximum pressure, the rate is then increased to l l barrels per minute, and as the pressure is increased, the rate is reduced to 7 barrels per minute. The rate is successively raised to injection rates of l5, l9 and 23 barrels per minute with reductions of 4 barrels per minute in each case as the injection pressure reaches the maximum. The injection rate is then alternately varied between 19 and 23 barrels per minute until the fracturing operation is complete. The fracturing fluid is displaced from the tubing and the well returned to service in conventional manner.

Fracturing of the producing formation in the aforementioned manner resulted in an increase of oil production to barrels per day with a corresponding water product rate of l l0 barrels per day.

EXAMPLE 2 A high-density diverting agent is prepared according to the method of this invention. Approximately 75 parts by weight of litharge is added to a molten mixture of wax and copolymer ethylene and ethyl acrylate. The resulting dispersion of finely divided solid in liquid is particulated and solidified. The resulting product exhibits a specific gravity of about 3.0 referred to water.

EXAMPLE 3 A mixed-density diverting agent is prepared by mixing approximately 40 volume percent of solid particles of a mixture of wax and ethyl acrylate having a size within the range of l micron up to about 8 mesh with approximately 60 volume per cent of a composition prepared according to example 2 and having a similar size range. The lowdensity diverting agent particles exhibit specific gravities of about 0.88 and the highdensity diverting agents exhibit specific gravities of about 3.0.

While particular embodiments of the invention have been described, it will be understood, of course, that the invention is not limited thereto since many modifications can be made, and it is intended to include within the invention any such modifications as fall within the scope of the claims.

The invention having thus been described, I claim:

i. A high-density A particulate diverting agent for use in fracturing an inclined subterranean formation consisting essentially of discrete solid particles of a size capable of passing a Number 8 U.S. Standard screen and having a specific gravity between about 1.1 and 5.0, said particles consisting essentially of a dispersion of finely divided solid inorganic weighting material having an average particle size less than about 1 micron and a specific gravity greater than about 2.6 in an oilsoluble, water-insoluble solid binder consisting essentially of a homogeneous mixture of parafiin wax and an addition polymer of an olefin containing between two and four carbon atoms and/or copolymers of said olefin with an olefinically unsaturated ester selected from the group consisting of l alkyl acrylates containing not more than four carbon atoms in the alkyl group, (2) esters formed by the reaction of butenic acid and an alcohol having no more than four carbon atoms, and (3) esters formed by the reaction of acetic acid and an unsaturated alcohol having no more than four carbon atoms in the proportion of between about one and parts by weight paraffin wax per part of polymer.

2. The composition defined in claim 1 wherein said inorganic weighting material has a specific gravity above about 4.0.

3. The composition defined in claim 1 wherein said inorganic weighting material is finely divided litharge 4. The composition defined in claim I wherein said discrete solid diverting agent particles have a specific gravity above about 3.0.

S. The composition defined in claim 1 wherein said polymer is selected from the group consisting of polyethylene. polypropylene, copolymer ethylene and methyl methacrylate, copolymer ethylene and vinyl acetate, and copolymer ethylene and ethyl acrylate.

6. A mixed-density particulate solid diverting agent for use in fracturing an inclined subterranean formation consisting essentially of a heterogeneous mixture of (l) low-density solid particles of a size capable of passing a Number 8 U.S. Standard screen and having a specific gravity less than about 0.95 consisting essentially of a homogeneous mixture of paraffin wax and a first polymer and (2) high-density solid particles of a size capable of passing a Number 8 U.S. Standard screen and having a specific gravity between about Li and 5.0 consisting essentially of a dispersion of up to 60 volume percent of finely divided solid inorganic weighting material having a specific gravity greater than about 2.6 in an oil-soluble, water-insoluble homogeneous solid binder consisting essentially of paraffin wax and a second polymer in the proportion of between about one and 20 parts by weight of paraffin wax per part of polymer, said polymers being addition polymers of an olefin containing between two and four carbon atoms and/or copolymers of said olefin with an olefinically unsaturated ester selected from the group consisting of 1) alkyl acrylates containing not more than four carbon atoms in the alkyl group, (2) esters formed by the reaction of butenic acid and an alcohol having no more than four carbon atoms, and (3) esters formed by the reaction of acetic acid and an unsaturated alcohol having no more than four carbon atoms.

7. The composition defined in claim 6 wherein said lowdensity solid particles have a specific gravity of less than 0.9 and wherein said high-density solid particles have a specific gravity greater than about 3.0.

8. The composition defined in claim 6 wherein said heterogeneous mixture of diverting agent particles contains at least about 50 volume percent of high-density particles.

9. The composition defined in claim 6 wherein said mixeddensity particulate solid diverting agent is dispersed in a carrier liquid in the proportions of about 0.05 to 2.0 pounds of said low-density particles and 0.1 to 4.0 pounds of said high-densi' ty particles per gallon of carrier liquid.

10. A high-density particulate diverting agent for use in fracturing an inclined subterranean formation consisting essentially of discrete solid particles of a size capable of passing a Number 8 U.S. Standard screen and having a specific gravity between about 1.1 and 5.0, said particles consisting essentially of a dispersion of finely divided solid inorganic weighting 

2. The composition defined in claim 1 wherein said inorganic weighting material has a specific gravity above about 4.0.
 3. The composition defined in claim 1 wherein said inorganic weighting material is finely divided litharge.
 4. The composition defined in claim 1 wherein said discrete solid diverting agent particles have a specific gravity above about 3.0.
 5. The composition defined in claim 1 wherein said polymer is selected from the group consisting of polyethylene, polypropylene, copolymer ethylene and methyl methacrylate, copolymer ethylene and vinyl acetate, and copolymer ethylene and ethyl acrylate.
 6. A mixed-density particulate solid diverting agent for use in fracturing an inclined subterranean formation consisting essentially of a heterogeneous mixture of (1) low-density solid particles of a size capable of passing a Number 8 U.S. Standard screen and having a specific gravity less than about 0.95 consisting essentially of a homogeneous mixture of paraffin wax and a first polymer and (2) high-density solid particles of a size capable of passing a Number 8 U.S. Standard screen and having a specific gravity between about 1.1 and 5.0 consisting essentially of a dispersion of up to 60 volume percent of finely divided solid inorganic weighting material having a specific gravity greater than about 2.6 in an oil-soluble, water-insoluble homogeneous solid binder consisting essentially of paraffin wax and a second polymer in the proportion of between about one and 20 parts by weight of paraffin wax per part of polymer, said polymers being addition polymers of an olefin containing between two and four carbon atoms and/or copolymers of said olefin with an olefinically unsaturated ester selected from the group consisting of (1) alkyl acrylates containing not more than four carbon atoms in the alkyl group, (2) esters formed by the reaction of butenic acid and an alcohol having no more than four carbon atoms, and (3) esters formed by the reaction of acetic acid and an unsaturated alcohol having no more than four carbon atoms.
 7. The composition defined in claim 6 wherein said low-density solid particles have a specific gravity of less than 0.9 and wherein said high-density solid particles have a specific gravity greater than about 3.0.
 8. The composition defined in claim 6 wherein said heterogeneous mixture of diverting agent particles contains at least about 50 volume percent of high-density particles.
 9. The composition defined in claim 6 wherein said mixed-density particulate solid diverting agent is dispersed in a carrier liquid in the proportions of about 0.05 to 2.0 pounds of said low-density particles and 0.1 to 4.0 pounds of said high-density particles per gallon of caRrier liquid.
 10. A high-density particulate diverting agent for use in fracturing an inclined subterranean formation consisting essentially of discrete solid particles of a size capable of passing a Number 8 U.S. Standard screen and having a specific gravity between about 1.1 and 5.0, said particles consisting essentially of a dispersion of finely divided solid inorganic weighting material having an average particle size less than about 1 micron and a specific gravity greater than about 4.0 in an oil-soluble, water-insoluble homogeneous solid mixture of paraffin wax and a polymer selected from the group consisting of polyethylene, polypropylene, copolymer ethylene and methyl methacrylate, copolymer ethylene and vinyl acetate, and copolymer ethylene and ethyl acrylate.
 11. The composition defined in claim 10 wherein said addition polymer is a copolymer of ethylene and vinyl acetate. 